Question

# If - 3 + ix2y and x2+y+4i be conjugate of each other, then the value of x and y isNone of these- 1 , 4

Solution

## The correct option is A We are given that ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯−3+ ix2y= x2+y +4i (given) i.e. - 3 - ix2y= x2+y+4i − 3 = x2+y and x2y= −4 The quadratic equation whose roots are x2 and y is t2− (x2+y) t+ x2 y  t2+3t−4=0 t = 4, t = 1 As x2   30, we taken x2 = 1 and y = − 4 So, x = ± 1, y = − 4

Suggest corrections